Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
59040bz |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-82637107200 = -1 · 212 · 39 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 1 -2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-552,-14704] |
[a1,a2,a3,a4,a6] |
Generators |
[32:20:1] |
Generators of the group modulo torsion |
j |
-6229504/27675 |
j-invariant |
L |
7.4000257927304 |
L(r)(E,1)/r! |
Ω |
0.44716625017653 |
Real period |
R |
2.0685890845456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999887 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59040bb1 118080bl1 19680b1 |
Quadratic twists by: -4 8 -3 |